Combine Like Terms
Simplify 3x+2+4x+2
7x+4
Expand 2(x+5)
2x + 10
Factor 12x+42
6(2x+7)
Solve for v: v/4 + 2 = -2
v = -16
What is the Distributive Property?
a(b + c) = ab + ac
Simplify 5(x+3)−2(x+3)
3x + 9
Expand −3(4a+1)
-12a - 3
Factor −6x+54
6(-x + 9) or -6(x - 9)
Solve for n: −6 = n/2 − 10
n = 8
Define “like terms.”
Terms with the same variable and exponent
7(x + 1) and 2(x + 1) considered like terms because ...
k = -9
Expand -5(2y+7)
-10y - 35
Factor 9x−27
9(x - 3)
Solve for x: 3 - 9x = 12
x = -1
Solve means to........
find the value of the variable
Combine: 6(x+4)+3(x+4)−2(x+4)
7x + 28
Expand −4(3b−5)
-12b + 20
Factor 10y−25
5(2y - 5)
Solve for x: −6 + x/4 = −5
x = 4
What is a common factor?
A number or expression that divides two or more terms; or a number or quantity that, when multiplied with another, produces a given number or expression.
Explain Kaitlyn’s mistake: She says 7+5(x+1)=12(x+1)
5) Mistake: She combined constants and coefficients incorrectly. Correct: 7 + 5(x + 1) stays as is; or distriubute the coefficient then simplify
Expand −7(2y−3x+9)
-14y + 21x - 63
Factor −3x−27
-3(x + 9)
Solve for x: (x + 5)/6 = -1
x = -11
What is the greatest common factor (GCF)?
The largest factor shared by ALL terms.